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Finding the Fourth Proportional to 1,795.75, 2,478.17 and 1,174.75

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Solution

The fourth proportional to 1,795.75, 2,478.17 and 1,174.75 is: 1,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.75 : 2,478.17 = 1,174.75 : x
  2. Step 2: Convert to fraction form
    1,795.75/2,478.17 = 1,174.75/x
  3. Step 3: Cross multiply
    1,795.75x = 2,478.17 × 1,174.75
  4. Step 4: Simplify right side
    1,795.75x = 2,911,230.21
  5. Step 5: Solve for x
    x = 2,911,230.21/1,795.75
  6. Step 6: Final answer
    x = 1,621.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.